numeracy – iLearn Technology

Class Pad: Free digital scratch paper for the math classroom

September 24, 2018Kelly TenkelyLeave a Comment215620 views

What it is: ClassPad is free online software that lets you digitize your math scratch paper. You can create original teaching materials for the math classroom quickly and easily. With ClassPad, you can quickly add mathematical formulas, graphs, spreadsheets, and geometry sheets to share with your students (and other teachers). ClassPad can be accessed from tablets and computers. On touch devices, you can write calculations and graphics by hand, just like on actual paper. Students can access your materials through a unique URL.

How to integrate ClassPad into your classroom: ClassPad is a fantastic tool for the mathematics and science classroom. It makes it easy for you and your students to create original materials. Whether your students need extra practice, you want to make your math materials more hands-on and relevant for your students, or your students are creating proofs, ClassPad is an excellent addition to your classroom.

ClassPad could also be helpful for your math students who struggle to get ideas out through paper/pencil work. The ability to use a tablet or computer may help those students with dysgraphia excel in the math classroom.

As a teacher, you can use ClassPad to create learning material for your students. However, my favorite use would be for students to explore the world as a mathematician and utilize ClassPad to help them express themselves mathematically. I think it would be exciting to pose an inquiry question or word problem for students and allow them to come up with a proof addressing the problem. Because students can share work with a unique URL, each student could submit their work for the class to review. Likely there would be multiple ways to think through the inquiry. This would be a great way to talk perspective, different approaches to problems, and how we solve problems in life. This would also give the teacher additional insight into how students are approaching and thinking through problems. Rather than simply looking for a right/wrong answer, this could provide the space to talk mathematics with students.

Tips: There are three different ClassPad plans to choose from. The free Guest account gives you the ability to utilize the calculation, graph, statistics, and geometry options. The Basic account for a registered user offers everything the Guest account offers with the ability to save up to 999 papers, share papers, search papers, add favorites, and save your browsing history. The Plus account requires an annual subscription (they are currently offering a free trial). The Plus account gives you all of the features of the first two plans plus the ability to save unlimited papers and comes with additional features for computer algebra, advanced statistics, and handwriting recognition.

SAM Labs blocks put students in charge of creative learning

July 8, 2018Kelly Tenkely2 Comments185613 views

What it is: Recently, the good people at SAM Labs sent me an Alpha Kit to play with and review. You guys, this is such a cool product! I love that as soon as students open it up, it puts them in charge of the learning. Best of all, it encourages the learning to happen through playful trial and error. Each SAM Labs Kit comes with clever little blocks that each does something specific (think switches, light sensors, temperature sensors, DC motors, etc.). These little blocks interact with the SAM Labs app and empower students to become the inventors of great ideas. Through these 17 blocks (the Alpha Kit comes with 4 of the 17 blocks), students get a front row learning experience to delve into programming, logic, and analytical skills while they express themselves creatively and become problem solvers. The uses of the blocks are seriously endless, paired with the app they can do anything from composing music, to creating a remote controlled car, to exploring temperature, to auto-tweeting or post to Facebook. You can play with these little blocks all day long and keep coming up with new combinations of things to do with them (in fact, I did!). I’m imagining all of the new directions SAM Labs could take our inquiry blocks this year!

How to integrate SAM Labs into the classroom: SAM Labs boasts itself as a STEAM (Science, Technology, Engineering, Art, and Math) tool. And it is. But SAM blocks are so flexible, that I think that they reach beyond these few subjects. When I look at the blocks, I see endless inquiry possibilities. Yes, students will learn programming basics, how motors and light sensors work, how to use logic to build if/then type scenarios. But students will see more possibilities with these open-ended blocks. SAM Labs has a great collection of lesson plans to get you and your students started if you like, but like Legos, I like to see what the students come up with BEFORE they get the prescriptive input from the adults. They will come up with things we wouldn’t have dreamed of and then we can let the iteration begin! Speaking of Legos, the SAM Labs components snap together seamlessly with Legos. I’m telling you, the sky is the limit with these! I adore tools that are flexible for any classroom, capitalize on student ingenuity and imagination, and give students the power to dream big. Using the SAM Labs blocks students can explore light and temperature, compose songs, experiment with resistance and friction, monitor plant life, create “smart” devices, test out properties of matter, begin to understand programming and patterns and learn about circuits.

I think Anastasis students are going to find some pretty unique ways to hack these little blocks into something that hasn’t yet been imagined for an inquiry project or experiment!

Tips: The Alpha Kit that SAM Labs sent me to play with is impressive even with a limited number of bricks. For a classroom setting, I’ll definitely be purchasing more. These will be a hot commodity for student creations…no need to cause unnecessary arguments over whose turn it is to use them! (Top tip: we solve those kinds of arguments with dance-offs!)

Have you played with the SAM Labs blocks? What have your students dreamed up with them?

Plus Happy Numbers: Free Monthly Math challenges for the primary classroom

April 21, 2018Kelly Tenkely1 Comment157793 views

What it is: Plus Happy Numbers is a free kindergarten through second-grade site with monthly math challenges. Teachers can sign up for a free classroom account and assign the monthly math challenge for students to solve. The challenges are designed to tap into higher-order thinking skills and build problem solving cognitive skills like visual spatial thinking. Students each receive their own login so that individual progress can be tracked and reported back to you. Plus Happy Numbers is designed to be used on any device that you have in your classroom including iPad and Mac (via Safari), Chromebook, PC and Andriod (via Google Chrome). Each lesson comes with audio support for early or struggling readers. Students simply click on the speaker icon for audio directions.

How to integrate Plus Happy Numbers into your classroom: Plus Happy Numbers makes for an excellent math center activity for your students. Each lesson comes with visual modeling of a concept, on-screen manipulatives, immediate feedback and remediation of errors, and adaptive scoring that provides just the right amount of practice a student needs to master a concept. Plus Happy Numbers is a great place for students to build mathematical thinking indpendently while you work with smaller groups of students or one-on-one.

I appreciate that Plus Happy Numbers goes beyond computational understanding and seeks to create students who think, and approach, problems like a mathematician by building number flexibility, problem solving, and higher-order thinking. Plus Happy Numbers can be used as a supplement in any k-2 classroom. Each month, a new Challenge of the Month is designed to stretch students’ mathematical thinking and problem solving skills. As students successfully progress through a challenge, the difficulty of the problems increases. Student progress is saved so they can pick up right where they left off. At the end of the month, you can print out a certificate of completion.

Obviously a 1:1 environment is ideal, each student can work on these challenges simultaneously. If 1:1 isn’t your reality, fear not! The individual student login means that you can bookmark plus.happynumbers.com on classroom devices so that your students can login to their account. In this scenario, use Plus Happy Numbers as a math center rotation in your classroom. The challenges are broken down so that students can complete a challenge in as little as 2-8 minutes. If you have a projector-connected computer or interactive whiteboard, you could also complete challenges as a class, discussing each challenge as your students progress through and giving students turns to solve at the board.

Tips: If you already have a Happy Numbers account, you are already on your way to using Plus! Just use the same login information and you are ready to start assigning challenges.

DragonBox Math Apps: Teaching students to think like mathematicians

September 5, 2017Kelly Tenkely3 Comments66301 views

DragonBox Math Apps: Teaching studentst to think like a mathematician

What it is: I adore the DragonBox math apps! I was first introduced to DragonBox through their Algebra app. The app takes away all math anxiety by teaching algebraic concepts without numbers or algorithms. It is genius! You can read my review of that app here. DragonBox Numbers is for kids who are new to numbers, counting, addition, and subtraction. DragonBox BIG Numbers is the next level app of Dragon Box Numbers. As they play, children learn about how big numbers work, and how to perform long addition and subtraction. In DragonBox Elements, students will secretly learn geometry. By playing 100+ puzzles, kids will gain a deep understanding of the logic of geometry. As they play, students will actually be recreating the mathematical proofs that define geometry. What I love about the DragonBox suite of math games is that they are unlike any other math apps. You won’t find mindless repetitions and quizzes of math facts, instead, these games help teach students how to think like mathematicians. This is learning math through exploration.

How to integrate Dragon Box math apps into your classroom: The DragonBox math apps take advantage of a student’s innate curiosity through play and exploration of math concepts. Each game engages students through exploration, reflection, and application. If you have a 1:1 iPad classroom, use these apps daily! Students can play a game, and then come together as a class to reflect and write down the rules they have learned in that “chapter.” Then, take an equation from the game and solve it on paper. See if students can connect the cards and rules of the game to the equations on paper. Solve the equations using strategies and rules from the game.

In a one or two device classroom, play DragonBox as a class by connecting your device to a projector. Explore the rules together and let students take turns being in charge of a chapter. Review rules and make connections as a class. Set up DragonBox as a math center that students can visit in a rotation where one center is interacting with the game, the next is an opportunity to record rules learned and reflect, and the last is application of the rules to an equation.

Be sure to check out the DragonBox for educators where you can download teachers guides and printable resources for each game in the DragonBox math suite. You’ll also find a great “rules” guide for the algebra and geometry games.

These are seriously my favorite math apps of all time! They encourage kids who can think and apply like mathematicians rather than kids who simply memorize a formula. DragonBox creates a deep understanding of mathematical concepts and number relationships.

Tips: While the DragonBox suite of math apps aren’t free, you can purchase them at a deep discount for educational institutions and bulk purchases. Teachers, you can get access for free to make sure that the apps are right before committing to a purchase for your students. You can also purchase apps in bundles.

Mathigon: engage, play, and explore math

July 11, 2017Kelly Tenkely4 Comments72435 views

Mathigon explore, engage, play with math

What it is: Today I was working on our inquiry block framework for the 2017/2018 school year and, as often happens with inquiry, fell down a wonderful rabbit hole that led me to this site. Mathigon is a fantastic *newish* math site (it’s still being built and added to) that brings textbooks to life. I know you’ve probably seen this claim before, but this is unlike the other online interactive textbooks I’ve seen. It’s more…alive. It’s like a personalized tutor, combined with story, and exploration. Really, textbook is the wrong word, because this is something totally new. A chat bot tutor makes Mathigon like having an additional team of teachers in the room, ready to answer questions and support your learners in real time. Real life application and narrative is part of the Mathigon DNA. This means that beyond learning the “rules” of math, learners are actually invited to engage the concepts, play with them, explore them in context, and find out what other concepts they are linked to. Rather than a linear approach, Mathigon lets students explore math in a more organic way through interest, linked ideas/concepts, and in a ‘down the rabbit hole’ approach. There are very few math sites that I’ve come across that truly support an inquiry approach to learning math, Mathigon is one such site.

How to integrate Mathigon into your classroom: There are several ways to use Mathigon. Students can get a personalized math curriculum that adapts to them and offers recommendations based on what they are interested in and their understanding of different concepts. They can begin from several places: exploring the applications of math in every day life, the link between math and origami, Eureka Magazine (published by Cambridge University), through problems and puzzles, through fractal fiction, or through courses for grades 6-college.

The Treasure Hunt is a complete PDF Kit that can be downloaded and printed out. Split your students into teams and send them on an epic math treasure hunt through your school (available in primary and secondary levels) where each of the clues leads them to another.

Fractal fiction is particularly cool because it lets students explore mathematical concepts through interactive narrative of popular films including Alice in Wonderland, Oceans 11, and Harry Potter (the latter two are coming soon). You really have to go experience these to really understand the brilliance of how Mathigon has combined story with math exploration. From the site: “The key to successful teaching is captivating storytelling – through real life applications, curious examples, historic background, or even fictional characters. These interactive slideshows combine an engaging narrative with beautiful graphics – explaining mathematical ideas in the context of popular stories and movies. They can be watched individually or be presented in classrooms.”

I cannot say enough about how impressed I am with the vastness of what this site brings to the classroom. Even if you don’t have the capacity for each of your students to have an account with Mathigon, the site can be easily adapted for the one computer classroom (as a center activity). Much of the content could also be explored as a whole class with a projector-connected computer.

Tips: I’ve found that really well done content for grades 6-12 (and beyond) in math to be severely lacking. This is a welcome addition to the math teachers tool box of resources!

Photomath: Scan math problems for immediate step-by-step instructions

February 23, 2017February 23, 2017Kelly TenkelyLeave a Comment25976 views

Photomath app: Scan math problems for immediate step-by-step instructions (with handwriting recognition!)

What it is: Photomath is an app available on the App Store and Google Play. With Photomath, students can scan a math problem and learn how to solve it with step by step instructions and an answer. The app includes a photo calculator (take a photo of a math problem, it gets solved in an instant), handwriting recognition, step-by-step instructions, and a smart calculator. For added features, Photomath+ includes complete step-by-step instructions, colorful explanations of the math, and extra math knowledge.

How to integrate Photomath into the classroom: On the surface, the Photomath app might look like the ultimate way for students to “cheat” their learning. After all, they can snap a picture of any math problem, get step-by-step “show your work” instructions, and the answer in an instant. When I look at Photomath, I see each device with the app as another teacher in the classroom. When students get stuck, or need to check their work/understanding, not only do they have access to the answer, but also to the process. They can see exactly where a mistake has been made, and even get an explanation about why the process is what it is. It also changes the math class from being procedures-based, and empowers teachers and students to engage math from a problem-based, practical aspect. Since students have help with the procedure of how to solve a problem, they can engage math as a mathematician, identifying the problem that needs to be solved, using number sense to understand the problem, and with Photomath ensuring that the procedure they apply has been solved correctly. It definitely could change the goal of your math class, rather than just finding the answer, assignments may become more practical application in nature.

Consider using Photomath as a check-in station where students can go through their own work and identify where they may need support. The app offers immediate step-by-step guidance, when students don’t understand the guidance, you know instantly that more teaching is needed.

Tips: If your school has homework, this would be a great app to recommend to parents! When they get stumped, the app can be a sanity saver.

Which One Doesn’t Belong? K-12 Critical Thinking and Problem Solving

December 7, 2016Kelly TenkelyLeave a Comment4306 views

What it is: Which One Doesn’t Belong? is a site I learned about from @TeamBaldwin today. This math site is for students of all ages and challenges them to look at a set of four images and determine which image doesn’t belong and justify their answer. The best part of this site is that each problem has multiple correct responses that can be justified. Students have to think through the differences that they see and then make logical decisions and be able to explain it to others. There are three different categories for Which One Doesn’t Belong including: Shapes, Numbers, Graphs and Equations.

How to Integrate Which One Doesn’t Belong? in your classroom: My favorite part about this site is that there are multiple answers for each set. Students can see how perspective and which attributes you are looking at can change the answer. The site is a great catalyst for critical thinking and problem solving in math (or any) class. Put a problem set up on a projector as a math class starter and ask your students to independently choose their answer and be ready to justify it. Then, as a class, discuss answers. After students have done this once, challenge them to find as many possible answers as they can independently before sharing responses. This site would be a great tie-in with the humanities to discuss perspective and vantage point. Even in something that feels as static as math, perspective can actually make any problem quite dynamic.

Yesterday, @TeamBaldwin used the site this way:

This is a class of kindergarten and first grade students! @michellek107 will be blogging more about the class experience on the class blog, Architects of Wonder if you’d like to read more.

Tips: The graphs and equations appear quite challenging, but even young students can begin making observations about the types of graphs that could lead to some higher-level math discussions.

YouCubed: Think like a Mathematician

November 28, 2016Kelly Tenkely2 Comments5490 views

What it is: Do you know about Stanford’s YouCubed? If you are a math teacher (and even if you aren’t) you need to know about this awesome resource! It is packed full of goodness for teachers and parents alike. Fantastic (and approachable) articles about brain science, mathematical thinking, and mindset. Outstanding ideas that you can use RIGHT NOW! Links to really wonderful math apps and games, videos and radio shows, tasks (also known as mathematical brain teasers), and visual mathematics resources. My favorite portion of YouCubed is the Week of iMath. There are 5 days of lessons, each one comes with a lesson plan, video, and list of materials needed.

How to integrate YouCubed into your classroom: There are SO many resources that can transform your classroom! I love the articles and research as references to send parents throughout the year. These are also great for reading with your older students who may assume that math is not their gig. The articles and research included show that math is for all of us, but our mindset may need a bit of a shift! What I love about the articles is the way they quickly dispel so many myths about maths, I guarantee you’ve heard all of this from parents over the years and now you have research to share to help them understand the truth about mathematical thinking and brain science.

The links to math games and apps is really helpful. You’ll find some old favorites, but likely be introduced to something new to use with your class. One of my very favorites listed is an app called Dragon Box…it is truly so brilliant for teaching students algebraic concepts and math thinking without any numbers or mathematical symbols at all!

The iMath section gives you a wonderful inspirational math lesson for each day of the week. These lessons go far beyond your typical math drill/skill/learn-a-new-formula. Instead, they are all about helping your students develop a growth mindset when it comes to math, and arming them with the necessary tools to think like a mathematician. Depth of learning! The approach in each lesson is playful and inquiry driven, it encourages risk taking and mistake making as they work with numbers, patterns, and relationships between concepts. I cannot say enough about this section of YouCubed! Each lesson is broken down into grade ranges so that no matter what age you teach, you can find the fit for your class.

Tips: This is an ideal site to start the year with, and then use as a reference all year long! You should also be sure to check out Jo Boaler’s books and articles. If you’ve ever felt under prepared/qualified to teach math, Jo will help you shift your own mindset and equip you to teach math like a master!

Find Your Pi Day

March 15, 2016Kelly Tenkely2 Comments8786 views

What it is: Find Your Pi Day is a simple site from Wolfram where students can type in any number (like a birth date) and the site will tell you where that number falls within the Pi sequence. All dates fall somewhere within the first 10 million digits in the sequence. The place in the sequence is depicted by a spiral that goes in and out to display the beginnings and ends of such long digit sequences.

How to integrate Find Your Pi Day in your classroom: Find Your Pi Day is a neat site to generate conversation and inquiry into Pi. This is a fantastic place to begin exploration of Pi. Students can learn about the mathematical sequence and the science of Pi in this background Wolfram blog post.

Tips: For some extra fun and discussion, have a look at Vi Hart’s lighthearted “rants” about Pi.

Woot Math: Adaptive learning for fractions and decimals

February 24, 2016Kelly Tenkely4 Comments11110 views

$Woot Math- adaptive fraction/decimals$

What it is: Woot Math uses adaptive technology to personalize the math learning experience in new ways for 3rd-6th grade students. With a focus on fractions and decimals, Woot Math allows students many inroads to understanding. Flexible implementation options mean that Woot Math can be used in any classroom configuration whether it be 1:1 devices, shared devices, whole-class, or as intervention. The Woot Math system works on the web, iPads, or Chromebooks seamlessly…it truly is a great option for any classroom! It is super user-friendly, and gives teachers the ability to customize for each student in the class as a starting point. Woot Math is adaptive, as students use it, it gets “smart” and creates learning pathways based on the specific needs of the student. Beginning with foundational rational math concepts, Woot Math makes these necessary foundational skills accessible for all students. It is like having a personal tutor sitting beside them as they work through new learning. If a student doesn’t understand a problem, the program adapts to approach the learning in a new way. The illustration of concepts is brilliant! Woot Math gives students a solid understanding of fractions, laying the necessary ground work for algebra, geometry, physics, chemistry, and statistics. Sign up TODAY, Woot Math is totally free for the 2015-2016 school year!

How to integrate Woot Math into your classroom: To begin with Woot Math, decide how you will use it in your classroom. Do all of your students have access to a technology device? Do you have a bank of devices that they can rotate through? Do you have a projector/interactive whiteboard? If you are using Woot Math with limited technology access, beginning with the Interactive Problem Bank is best. Here you can quickly access thousands of hands-on fraction and decimal problems for students to work through together. You can project the problems on a whiteboard or use an interactive whiteboard. Problems can be selected by topic or standard and then by model type. Students can either work together in community solving problems, or as a center in a math rotation. If you have better access to technology, and students can work independently on a device, the Adaptive Practice is the place to start. Here you can print out student login cards, assign an initial topic, and the program will adaptively generate and assess thousands of interactive problems. This is also the place where you can track student progress and understanding through concepts and skills. The visual examples and leading through problems is fantastic, it is truly an engaging process for students to learn with! This is the best way (in my humble opinion) to use Woot Math, because it allows students to work in exactly the way they need to increase understanding and build a solid foundation of understanding. Be sure to go through Woot Math independently of your students to truly appreciate the interactive learning modules and visual representation of concepts…they are brilliant!

Tips: Be sure to sign up soon, take advantage of this timing when Woot Math is 100% free! There are some great teacher resources to download to help you as you implement Woot Math.

Hat Tip to @yourkidsteacher for sharing this awesome resource with me!